equation of motion

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equation of motion

[i′kwā·zhən əv ′mō·shən]
(fluid mechanics)
One of a set of hydrodynamical equations representing the application of Newton's second law of motion to a fluid system; the total acceleration on an individual fluid particle is equated to the sum of the forces acting on the particle within the fluid.
(mechanics)
Equation which specifies the coordinates of particles as functions of time.
A differential equation, or one of several such equations, from which the coordinates of particles as functions of time can be obtained if the initial positions and velocities of the particles are known.
(quantum mechanics)
A differential equation which enables one to predict the statistical distribution of the results of any measurement upon a system at any time if the initial dynamical state of the system is known.
References in periodicals archive ?
Variation of the function can be done holding it constant along y and x respectively leading to the usual equations of motion along the separate time coordinates [t.
Single-point Wheel-rail Contact Differential Equations of Motion Wheelset has single-point wheel-rail tread contact when the lateral movement from the centered position less than the flange clearance but the wheelset has single-point wheel-rail flange contact if the movement exceeds the flange clearance.
The goal of this course is to help students grasp the basic equations of motion of aircraft and also understand why airplanes fly the way they do," she said.
In MD simulation, such microstates are simply generated by solving the Newtonian equations of motion (F = ma) numerically.
Equations 6 through 8 are obtained when Eq 1 is introduced into the equations of motion for a power-law fluid (6).
Even though the equations of motion describing the system are well known, the long-term behavior of the bails is unpredictable.
Multibody simulation programs automate development of the differential equations of motion governing the dynamics of mechanical systems such as mechanisms and vehicles.
TOPS proprietary technology identifies through computer simulation studies and equations of motion and optimal controlled seat motion, which varies from vehicle to vehicle.
In a classical regime and for a fixed temperature, atoms are described by particles that interact through a force field and evolve according to Newton s equations of motion, with additional stochastic terms to model thermostating.
It is usually favored that such invariance be "manifest" in that the form of the equations of motion are evidently independent of the gauge.
According to the latter, the equations of motion of substance and fields can be found by varying the action function S = [integral] L dt.